Introduction to Shannon Sampling and Interpolation Theory: Springer Texts in Electrical Engineering
Autor Robert J. II Marksen Limba Engleză Paperback – 14 dec 2011
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Specificații
ISBN-13: 9781461397106
ISBN-10: 1461397103
Pagini: 344
Ilustrații: XIII, 324 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.49 kg
Ediția:Softcover reprint of the original 1st ed. 1991
Editura: Springer
Colecția Springer
Seria Springer Texts in Electrical Engineering
Locul publicării:New York, NY, United States
ISBN-10: 1461397103
Pagini: 344
Ilustrații: XIII, 324 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.49 kg
Ediția:Softcover reprint of the original 1st ed. 1991
Editura: Springer
Colecția Springer
Seria Springer Texts in Electrical Engineering
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
1 Introduction.- 1.1 The Cardinal Series.- 1.2 History.- 2 Fundamentals of Fourier Analysis and Stochastic Processes.- 2.1 Signal Classes.- 2.2 The Fourier Transform.- 2.3 Stochastic Processes.- 2.4 Exercises.- 3 The Cardinal Series.- 3.1 Interpretation.- 3.2 Proofs.- 3.3 Properties.- 3.4 Application to Spectra Containing Distributions.- 3.5 Application to Bandlimited Stochastic Processes.- 3.6 Exercises.- 4 Generalizations of the Sampling Theorem.- 4.1 Generalized Interpolation Functions.- 4.2 Papoulis’ Generalization.- 4.3 Derivative Interpolation.- 4.4 A Relation Between the Taylor and Cardinal Series.- 4.5 Sampling Trigonometric Polynomials.- 4.6 Sampling Theory for Bandpass Functions.- 4.7 A Summary of Sampling Theorems for Directly Sampled Signals.- 4.8 Lagrangian Interpolation.- 4.9 Kramer’s Generalization.- 4.10 Exercises.- 5 Sources of Error.- 5.1 Effects of Additive Data Noise.- 5.2 Jitter.- 5.3 Truncation Error.- 5.4 Exercises.- 6 The Sampling Theorem in Higher Dimensions.- 6.1 Multidimensional Fourier Analysis.- 6.2 The Multidimensional Sampling Theorem.- 6.3 Restoring Lost Samples.- 6.4 Periodic Sample Decimation and Restoration.- 6.5 Raster Sampling.- 6.6 Exercises.- 7 Continuous Sampling.- 7.1 Interpolation From Periodic Continuous Samples.- 7.2 Prolate Spheroidal Wave Functions.- 7.3 The Papoulis-Gerchberg Algorithm.- 7.4 Exercises.